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Topological solitons occur in many nonlinear classical field theories. They are stable, particle-like objects, with finite mass and a smooth structure. Examples are monopoles and Skyrmions, Ginzburg-Landau vortices and sigma-model lumps, and Yang-Mills instantons. This book is a comprehensive survey of static topological solitons and their dynamical interactions. Particular emphasis is placed on the solitons which satisfy first-order Bogomolny equations. For these, the soliton dynamics can be investigated by finding the geodesics on the moduli space of static multi-soliton solutions. Remarkable scattering processes can be understood this way. The book starts with an introduction to classical field theory, and a survey of several mathematical techniques useful for understanding many types of topological soliton. Subsequent chapters explore key examples of solitons in one, two, three and four dimensions. The final chapter discusses the unstable sphaleron solutions which exist in several field theories.
The Physical World offers a grand vision of the essential unity of physics that will enable the reader to see the world through the eyes of a physicist and understand their thinking. The text follows Einstein's dictum that 'explanations should be made as simple as possible, but no simpler', to give an honest account of how modern physicists understand their subject, including the shortcomings of current theory. The result is an up-to-date and engaging portrait of physics that contains concise derivations of the important results in a style where every step in a derivation is clearly explained, so that anyone with the appropriate mathematical skills will find the text easy to digest. It is ov...
1. Skyrmions and nuclei / R.A. Battye, N.S. Manton and P.M. Sutcliffe -- 2. Electromagnetic form factors of the nucleon in chiral soliton models / G. Holzwarth -- 3. Exotic baryon resonances in the Skyrme model / D. Diakonov and V. Petrov -- 4. Heavy-quark skyrmions / N.N. Scoccola -- 5. Skyrmion approach to finite density and temperature / B.-Y. Park and V. Vento -- 6. Half-skyrmion hadronic matter at high density / H.K. Lee and M. Rho -- 7. Superqualitons : baryons in dense QCD / D.K. Hong -- 8. Rotational symmetry breaking in baby skyrme models / M. Karliner and I. Hen -- 9. Spin and isospin : exotic order in quantum hall ferromagnets / S.M. Girvin -- 10. Noncommutative skyrmions in quant...
The Physical World offers a grand vision of the essential unity of physics that will enable the reader to see the world through the eyes of a physicist and understand their thinking. The text follows Einstein's dictum that 'explanations should be made as simple as possible, but no simpler', to give an honest account of how modern physicists understand their subject, including the shortcomings of current theory. The result is an up-to-date and engaging portrait of physics that contains concise derivations of the important results in a style where every step in a derivation is clearly explained, so that anyone with the appropriate mathematical skills will find the text easy to digest. It is ov...
This book presents a new approach to the subject of cosmology. It fully exploits Einstein?s theory of general relativity. It is found that the most general formal expression of the theory replaces the (10-component) tensor formalism with a (16-component) quaternion formalism. This leads to a unified field theory, where one field incorporates gravitation and electromagnetism. The theory predicts an oscillating universe cosmology with a spiral configuration. Dark matter is explained in terms of a sea of particle?antiparticle pairs, each in a particular (derived) ground state. This leads to an explanation for the separation between matter and antimatter in the universe. There is a brief discussion of black holes and pulsars. The final chapter delves into philosophical considerations such as the different types of ?truth?, positivism versus realism and a discussion of the role of the Mach principle in physics and cosmology.
Professor Roman Jackiw is a theoretical physicist renowned for his many fundamental contributions and discoveries in quantum and classical field theories, ranging from high energy physics and gravitation to condensed matter and the physics of fluids. Among his major achievements is the establishment of the presence of the famous Adler-Bell-Jackiw anomalies in quantum field theory, a discovery with far-reaching implications for the structure of the Standard Model of particle physics and all attempts to go beyond it. Other important contributions, among many, that one may mention here are the topological mass term in gravity and gauge theories, and the fractionalization of fermion number and c...
This volume contains the proceedings of the conference `String-Math 2013' which was held June 17-21, 2013 at the Simons Center for Geometry and Physics at Stony Brook University. This was the third in a series of annual meetings devoted to the interface of mathematics and string theory. Topics include the latest developments in supersymmetric and topological field theory, localization techniques, the mathematics of quantum field theory, superstring compactification and duality, scattering amplitudes and their relation to Hodge theory, mirror symmetry and two-dimensional conformal field theory, and many more. This book will be important reading for researchers and students in the area, and for all mathematicians and string theorists who want to update themselves on developments in the math-string interface.
Antimatter is one of the most fascinating aspects of Particle Physics, and matter-antimatter annihilation the most energetic process in the universe. If they existed, everyday objects made of antimatter would look exactly like those made of ordinary matter, as would antimatter stars. We live surrounded by antimatter, since showers of matter and antimatter particles fall incessantly on the Earth's surface, some of them penetrating our buildings. Furthermore, many things around us - bananas, for example - actually emit antielectrons. This book first introduces the essentials of particle physics and the nature of particles and antiparticles. It describes the discovery of antimatter particles an...